Iterationsverfahren zur gleichzeitigen Berechnung der Beanspruchungsgrößen und der Durchbiegung einer kreissymmetrischen Ringplatte

The symmetrical bending of a circular plate of variable thickness with a circular hole at the center and with a symmetrical load distribution is discussed. This problem leads to a system of four differential equations of the first order for the geometrical and dynamical magnitudes of the plate. Under certain conditions, this system can be solved by iteration. The problem of convergence is discussed using one of the related integral equations, arising from a Hilbert variational principle. In the case of convergence the solution of the problem can be obtained by successive numerical integrating processes.